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1.5.14 Convert between cartesian and parametric forms (A-level only)

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Question 11

A curve C C\,C has parametric equations

x=tan⁡t+1,y=sec⁡2t+4,0≤t≤2π, t≠π2,3π2 x = \tan t + 1, \quad y = \sec^2 t + 4, \quad 0 \leq t \leq 2\pi, \, t \neq \frac{\pi}{2}, \frac{3\pi}{2} x=tant+1,y=sec2t+4,0≤t≤2π,t=2π​,23π​
a.

Find an equation for C C\,C in the form y=f(x)y = f(x)y=f(x) and state the domain for which the curve is defined.

[3]
b.

Sketch the curve CCC.

[3]

1.5.14 Convert between cartesian and parametric forms (A-level only) Questions

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